dorsal/arxiv
View SchemaMode-Wise Entanglement of Gaussian States
| Authors | Alonso Botero, Benni Reznik |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209026 |
| URL | https://arxiv.org/abs/quant-ph/0209026 |
| DOI | 10.1103/PhysRevA.67.052311 |
| Journal | Phys. Rev. A 67, 052311 (2003) |
Abstract
We address the decomposition of a multi-mode pure Gaussian state with respect to a bi-partite division of the modes. For any such division the state can always be expressed as a product state involving entangled two-mode squeezed states and single mode local states at each side. The character of entanglement of the state can therefore be understood modewise; that is, a given mode on one side is entangled with only one corresponding mode of the other, and therefore the total bi-partite entanglement is the sum of the modewise entanglement. This decomposition is generally not applicable to all mixed Gaussian states. However, the result can be extended to a special family of "isotropic" states, characterized by a phase space covariance matrix with a completely degenerate symplectic spectrum.
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"abstract": "We address the decomposition of a multi-mode pure Gaussian state with respect\nto a bi-partite division of the modes. For any such division the state can\nalways be expressed as a product state involving entangled two-mode squeezed\nstates and single mode local states at each side. The character of entanglement\nof the state can therefore be understood modewise; that is, a given mode on one\nside is entangled with only one corresponding mode of the other, and therefore\nthe total bi-partite entanglement is the sum of the modewise entanglement. This\ndecomposition is generally not applicable to all mixed Gaussian states.\nHowever, the result can be extended to a special family of \"isotropic\" states,\ncharacterized by a phase space covariance matrix with a completely degenerate\nsymplectic spectrum.",
"arxiv_id": "quant-ph/0209026",
"authors": [
"Alonso Botero",
"Benni Reznik"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.052311",
"journal_ref": "Phys. Rev. A 67, 052311 (2003)",
"title": "Mode-Wise Entanglement of Gaussian States",
"url": "https://arxiv.org/abs/quant-ph/0209026"
},
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